Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C2×C3×#6131 |
| Fitting | C2×C3×Q8×C13 ⋊ C2 |
| Hall | C3×C13 ⋊ C2×#41 |
| Sylow | C13 ⋊ C2×C3×#41 |
328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 624 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1390);